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Finding the Fourth Proportional to 390.12, 584.96 and 116.13

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Solution

The fourth proportional to 390.12, 584.96 and 116.13 is: 174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.12 : 584.96 = 116.13 : x
  2. Step 2: Convert to fraction form
    390.12/584.96 = 116.13/x
  3. Step 3: Cross multiply
    390.12x = 584.96 × 116.13
  4. Step 4: Simplify right side
    390.12x = 67,933.02
  5. Step 5: Solve for x
    x = 67,933.02/390.12
  6. Step 6: Final answer
    x = 174.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.